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6494336 = 27113449
BaseRepresentation
bin11000110001100010000000
3110012221112222
4120301202000
53130304321
6351110212
7106125632
oct30614200
913187488
106494336
113736322
122212368
131465004
14c10a52
158843ab
hex631880

6494336 has 32 divisors (see below), whose sum is σ = 13081500. Its totient is φ = 3211264.

The previous prime is 6494321. The next prime is 6494339. The reversal of 6494336 is 6334946.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6031936 + 462400 = 2456^2 + 680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (46656) is a multiple of the sum of its prime factors (576).

It is a junction number, because it is equal to n+sod(n) for n = 6494296 and 6494305.

It is not an unprimeable number, because it can be changed into a prime (6494339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14240 + ... + 14688.

Almost surely, 26494336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540750).

6494336 is an abundant number, since it is smaller than the sum of its proper divisors (6587164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6494336 is a wasteful number, since it uses less digits than its factorization.

6494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 6494336 is about 2548.3987129176. The cubic root of 6494336 is about 186.5713345414.

The spelling of 6494336 in words is "six million, four hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 449 452 898 904 1796 1808 3592 3616 7184 7232 14368 14464 28736 50737 57472 101474 202948 405896 811792 1623584 3247168 6494336